A note on the exact completion of a regular category, and its infinitary generalizations.
Lack, Stephen (1999)
Theory and Applications of Categories [electronic only]
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Displaying similar documents to “Composing special epimorphisms and retractions”
A note on the exact completion of a regular category, and its infinitary generalizations.
Strong regular and dense generators
Reinhard Börger, Walter Tholen (1991)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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A note on free regular and exact completions and their infinitary generalizations.
Hu, Hongde, Tholen, Walter (1996)
Theory and Applications of Categories [electronic only]
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Categorical structures enriched in a quantaloid : regular presheaves, regular semicategories
Isar Stubbe (2005)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Quasi-varieties of presheaves.
Vitale, Enrico M. (2000)
Theory and Applications of Categories [electronic only]
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Semilocalizations of exact and leftextensive categories
S. Mantovani (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Totality of colimit closures
Reinhard Börger, Walter Tholen (1991)
Commentationes Mathematicae Universitatis Carolinae
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Adámek, Herrlich, and Reiterman showed that a cocomplete category is cocomplete if there exists a small (full) subcategory such that every -object is a colimit of -objects. The authors of the present paper strengthened the result to totality in the sense of Street and Walters. Here we weaken the hypothesis, assuming only that the colimit closure is attained by transfinite iteration of the colimit closure process up to a fixed ordinal. This requires some investigations on generalized...